Dark matter and Standard Model reheating from conformal GUT inflation
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Springer
Received: April 16, Revised: June 12, Accepted: June 15, Published: July 6,
2020 2020 2020 2020
S. Biondini and K. Sravan Kumar Van Swinderen Institute, University of Groningen, Nijenborgh 4, NL-9747 AG Groningen, Netherlands
E-mail: [email protected], [email protected] Abstract: Spontaneous breaking of conformal symmetry has been widely exploited in successful model building of both inflationary cosmology and particle physics phenomenology. Conformal Grand Unified Theory (CGUT) inflation provides the same scalar tilt and tensor-to-scalar ratio as of Starobinsky and Higgs inflation. Moreover, it predicts a proton life time compatible with the current experimental bound. In this paper, we extend CGUT to account for the production of dark matter and the reheating of the Standard Model. To this end, we introduce a hidden sector directly coupled to the inflaton, whereas the reheating of the visible sector is realized through a portal coupling between the dark particles and the Higgs boson. The masses and interactions of the dark particles and the Higgs boson are determined by the form of the conformal potential and the non-vanishing VEV of the inflaton. We provide benchmark points in the parameter space of the model that give the observed dark matter relic density and reheating temperatures compatible with the Big Bang nucleosynthesis. Keywords: Beyond Standard Model, Cosmology of Theories beyond the SM, Conformal Field Theory, GUT ArXiv ePrint: 2004.02921
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP07(2020)039
JHEP07(2020)039
Dark matter and Standard Model reheating from conformal GUT inflation
Contents 1 Introduction
1
2 Fundamental potentials in cosmology and particle physics
3
3 Conformal GUT inflation 3.1 Proton decay
5 9 10 12 15
5 Dark matter relic density and SM reheating 5.1 Boltzmann equations
17 19
6 Conclusions and discussion
24
A Dark scalar and Higgs boson mixing
26
B Doublet-triplet splitting and CGUT
27
1
Introduction
Inflationary cosmology stands today as an elegant and compelling explanation why our observable universe is so large, flat and homogeneous on large scales [1–3]. Quantum fluctuations during inflation provide the seeds for structure formation, whereas the subsequent decay of the inflaton can trigger a hot thermal universe containing matter and radiation. According to the recent Planck data, single-field inflationary scenarios with a plateau-like (or Starobinsky-like) potentials are strongly favoured [4, 5]. Two models have gained significant attention: Starobinsky’s R + R2 inflation [1], which is based on the modification of gravity induced by one-loop corrections from matter quantum fields [6], and Higgs inflation [7], where the Standard Model (SM) Higgs boson is non-minimally coupled to gravity. These two inflationary models occupy a central spot in the (ns , r) plane with the predictions 2 12 , r= 2, (1.1) N N where ns is the scalar tilt, r is the tensor-to-scalar ratio and N is the number of e-foldings befor
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